Question

Help me with my math please
(2 -1/2 * 7 1/3)^6

Answer 1

21 316/729

Key rules to solve:

• 
  `\left((a)/(b)\right)^c=(a^c)/(b^c)`
• 
  `(1)/((b)/(c))=(c)/(b)`

• Convert mixed numbers to improper fractions

Explanation:

`\left((2-1)/(2\cdot \:7(1)/(3))\right)^6`

`=\left((2-1)/(2\cdot (22)/(3))\right)^6`

`=(\left(2-1\right)^6)/(\left(2\cdot (22)/(3)\right)^6)`

`=(1)/(\left(2\cdot (22)/(3)\right)^6)`

`=(1)/((7256313856)/(729))`

`\rightarrow 21 (316)/(729)`